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Finding the Third Proportional to 89,323,381 and 193,486,119

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Solution

The third proportional to 89,323,381 and 193,486,119 is: 419,116,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,323,381 : 193,486,119 = 193,486,119 : x
  2. Step 2: Convert to fraction form
    89,323,381/193,486,119 = 193,486,119/x
  3. Step 3: Cross multiply
    89,323,381x = 193,486,119 × 193,486,119
  4. Step 4: Simplify right side
    89,323,381x = 37,436,878,245,682,160
  5. Step 5: Solve for x
    x = 37,436,878,245,682,160/89,323,381
  6. Step 6: Final answer
    x = 419,116,224.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.